Smooth Representations of p-adic Groups: The Role of Compact Open Subgroups

Colin J. Bushnell
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Colin J. Bushnell: King’s College London, Department of Mathematics

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 770-779 from Springer

Abstract: Abstract This article concerns the method of investigating the smooth (complex) representations of a reductive p-adic group via the method of restriction to compact open subgroups, and amounts largely to a report on joint work of the author and Kutzko. Let G denote the group of F-points of some connected reductive algebraic group defined over the non-Archimedean local field F. The basic idea of the method is to isolate a family $$ F$$ of irreducible smooth representations of compact open subgroups of G, and then to describe a given irreducible smooth representation of G in terms of those members of $$ F$$ that it contains.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_70

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DOI: 10.1007/978-3-0348-9078-6_70

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